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Finding the Fourth Proportional to 1,203.13, 1,658.50 and 940.69

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Solution

The fourth proportional to 1,203.13, 1,658.50 and 940.69 is: 1,296.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.13 : 1,658.50 = 940.69 : x
  2. Step 2: Convert to fraction form
    1,203.13/1,658.50 = 940.69/x
  3. Step 3: Cross multiply
    1,203.13x = 1,658.50 × 940.69
  4. Step 4: Simplify right side
    1,203.13x = 1,560,134.37
  5. Step 5: Solve for x
    x = 1,560,134.37/1,203.13
  6. Step 6: Final answer
    x = 1,296.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.